What is (\partial)/(\partial x)(3x^2y+2xy^3) ?

The answer to (\partial)/(\partial x)(3x^2y+2xy^3) is 6yx+2y^3

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(\partial)/(\partial x)(3x^2y+2xy^3)

\frac{\partial}{\partial x} (3 x^{2} y + 2 x y^{3})

6 y x + 2 y^{3}

Solution steps

\frac{\partial}{\partial x} (3 x^{2} y + 2 x y^{3})

Treat

y

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (3 x^{2} y) + \frac{\partial}{\partial x} (2 x y^{3})

\frac{\partial}{\partial x} (3 x^{2} y) = 6 y x

\frac{\partial}{\partial x} (2 x y^{3}) = 2 y^{3}

= 6 y x + 2 y^{3}

n = 0 \sum \infty e^{- 1}

\int_{- 1}^{1} x e^{x} d x

\frac{d}{d x} (ln (x^{2} + 3 x))

\frac{d}{d x} (5 (1 - e^{- 2 x}))

\frac{d}{d x} (x^{2} + y^{2} - 4)

What is (\partial)/(\partial x)(3x^2y+2xy^3) ?
The answer to (\partial)/(\partial x)(3x^2y+2xy^3) is 6yx+2y^3